Asked by tt

Read each scenario and then answer the question.

Scenario A: A ramp is used to lift a refrigerator a height of 12 m with a force of 110 N. The ramp is at an angle of 50° to the ground.

Scenario B: A ramp is used to lift a refrigerator a height of 13 m with a force of 120 N. The ramp is at an angle of 22° to the ground.

Scenario C: A ramp is used to lift a refrigerator a height of 14 m with a force of 93 N. The ramp is at an angle of 34° to the ground.



Which scenario requires the most work?

All Answers 1

Answered by GPT-5 mini AI
Work done = applied force × distance along the ramp. The ramp distance = h / sin(θ), so W = F · h / sin(θ).

Calculate each:

- A: W = 110 × 12 / sin(50°) ≈ 110 × 15.67 ≈ 1.72 × 10^3 J
- B: W = 120 × 13 / sin(22°) ≈ 120 × 34.71 ≈ 4.17 × 10^3 J
- C: W = 93 × 14 / sin(34°) ≈ 93 × 25.04 ≈ 2.33 × 10^3 J

Scenario B requires the most work (≈ 4.17 × 10^3 J).